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152412435 = 3457371453
BaseRepresentation
bin10010001010110…
…10000100010011
3101121210100120000
421011122010103
5303004144220
623042421043
73530325060
oct1105320423
9347710500
10152412435
117903a79a
1243061783
1325764c96
1416355c67
15d5a9390
hex915a113

152412435 has 80 divisors (see below), whose sum is σ = 320903616. Its totient is φ = 67744512.

The previous prime is 152412431. The next prime is 152412443. The reversal of 152412435 is 534214251.

It is not a de Polignac number, because 152412435 - 22 = 152412431 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 152412399 and 152412408.

It is not an unprimeable number, because it can be changed into a prime (152412431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 104169 + ... + 105621.

Almost surely, 2152412435 is an apocalyptic number.

152412435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

152412435 is an abundant number, since it is smaller than the sum of its proper divisors (168491181).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

152412435 is a wasteful number, since it uses less digits than its factorization.

152412435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1505 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 152412435 is about 12345.5431229250. The cubic root of 152412435 is about 534.1625877849.

Adding to 152412435 its reverse (534214251), we get a palindrome (686626686).

The spelling of 152412435 in words is "one hundred fifty-two million, four hundred twelve thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 37 45 63 81 105 111 135 185 189 259 315 333 405 555 567 777 945 999 1295 1453 1665 2331 2835 2997 3885 4359 4995 6993 7265 10171 11655 13077 14985 20979 21795 30513 34965 39231 50855 53761 65385 91539 104895 117693 152565 161283 196155 268805 274617 376327 457695 483849 588465 806415 823851 1128981 1373085 1451547 1881635 2419245 3386943 4119255 4354641 5644905 7257735 10160829 16934715 21773205 30482487 50804145 152412435